English

The core of adjoint functors

Category Theory 2012-01-04 v2

Abstract

There is a lot of redundancy in the usual definition of adjoint functors. We define and prove the core of what is required. First we do this in the hom-enriched context. Then we do it in the cocompletion of a bicategory with respect to Kleisli objects, which we then apply to internal categories. Finally, we describe a doctrinal setting.

Keywords

Cite

@article{arxiv.1112.0094,
  title  = {The core of adjoint functors},
  author = {Ross Street},
  journal= {arXiv preprint arXiv:1112.0094},
  year   = {2012}
}

Comments

16 pages

R2 v1 2026-06-21T19:44:30.575Z